A harder-narasimhan theory for kisin modules

Brandon Levin; Carl Wang-Erickson

doi:10.14231/AG-2020-024

A harder-narasimhan theory for kisin modules

Brandon Levin, Carl Wang-Erickson

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We develop a Harder-Narasimhan theory for Kisin modules generalizing a similar theory for finite at group schemes due to Fargues [La filtration de Harder-Narasimhan des sch-emas en groupes finis et plats, J. reine angew. Math. 645 (2010), 1-39]. We prove the tensor product theorem, in other words, that the tensor product of semistable objects is again semi-stable. We then apply the tensor product theorem to the study of Kisin varieties for arbitrary connected reductive groups.

Original language	English (US)
Pages (from-to)	645-795
Number of pages	151
Journal	Algebraic Geometry
Volume	7
Issue number	6
DOIs	https://doi.org/10.14231/AG-2020-024
State	Published - 2020
Externally published	Yes

Keywords

Algebraic groups
Deformation theory
Finite at group schemes
Geometric invariant theory
P-adic hodge theory

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.14231/AG-2020-024

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keywords = "Algebraic groups, Deformation theory, Finite at group schemes, Geometric invariant theory, P-adic hodge theory",

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AB - We develop a Harder-Narasimhan theory for Kisin modules generalizing a similar theory for finite at group schemes due to Fargues [La filtration de Harder-Narasimhan des sch-emas en groupes finis et plats, J. reine angew. Math. 645 (2010), 1-39]. We prove the tensor product theorem, in other words, that the tensor product of semistable objects is again semi-stable. We then apply the tensor product theorem to the study of Kisin varieties for arbitrary connected reductive groups.

KW - Algebraic groups

KW - Deformation theory

KW - Finite at group schemes

KW - Geometric invariant theory

KW - P-adic hodge theory

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A harder-narasimhan theory for kisin modules

Abstract

Keywords

ASJC Scopus subject areas

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